Poisson INAR(1)过程的质量控制  

Quality control chart for poisson INAR(1) process

作　　者：睢立伟 宋向东[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2017年第6期668-672,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：全国统计科研计划基金(2011LY064)

摘　　要：为解决在实际生产中,过程数据并不总能满足彼此独立的假设前提,从而使得一些控制图不再适用于具有相关性的过程的问题,以免在监控过程中出现大量的虚假警报.论文采用取整法研究一阶自回归泊松计数过程模型,首先将一阶自回归模型与泊松计数过程结合起来,然后对原有的模型就行修正,在新模型的基础上重新构造了c控制图和残差控制图的控制限,以使得这两种控制图能够适应新的模型.研究结果表明:两种控制图都只是在一定的情况下使用,研究结论对于研究具有相关性的统计过程有着重要的推进作用.To solve the problem that in actual production, the process data is not always satisfied with the assumption of independence, which makes some control charts no longer suitable for the process of correlation, so as to avoid a large number of false alarm. This paper studied the poisson INAR（1） process with rounding method. Firstly, the AR（1） process was combined with the poisson counting process, and the original model was corrected. Based on the new model, the control limits of c-chart and residual chart were constructed, in order to adapt the new model. The results of the study indicate the application of the two control charts. The research results have important promoting effect on the study of statistical process.

关 键 词：泊松分布 INAR(1)过程 平均链长 控制限 性能评价 

分 类 号：O212[理学—概率论与数理统计]